Mathematical Problems in Engineering / 2015 / Article / Alg 1

Research Article

A Multiperiod Vehicle Lease Planning for Urban Freight Consolidation Network

Algorithm 1

Solution procedure for .
PROC()
begin
(1) Let for all and for all be , and -variables of
   the optimal solution of respectively;
(2) Set ;
(3) Fix some at the associated values according to Proposition 2 and determine ,
    and for all by Corollary 3;
(4) Set for all and ;
(5) Set and for all and where and
    are binary variables having 1 only if and are not necessary
   to be solved respectively, and 0 otherwise;
(6) Set ;
(7) while     do
(8)  if     then
(9)     Set ;
(10)     while     do
(11)      if     then
(12)       Solve and set the resulting solution as (;
(13)       Set for all and ;
     end
(14)     Set and for all
      by Proposition 4(a);
(15)     Set ;
     end
(16)     Set for all by Proposition 4(b) where
      such that ;
(17)     if     then
(18)     Set (refer to (10));
(19)     Set and for all ;
     end
   end
(20)   Set ;
   end
end